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6980701041 = 3317294112791
BaseRepresentation
bin1101000000001010…
…10000101101110001
3200000111102100121000
412200011100231301
5103244024413131
63112404352213
7334662660036
oct64005205561
920014370530
106980701041
112a62473016
1214299a5669
13873309942
144a317538d
152acca5ce6
hex1a0150b71

6980701041 has 64 divisors (see below), whose sum is σ = 11604902400. Its totient is φ = 4125542400.

The previous prime is 6980701031. The next prime is 6980701067. The reversal of 6980701041 is 1401070896.

It is not a de Polignac number, because 6980701041 - 25 = 6980701009 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6980700987 and 6980701005.

It is not an unprimeable number, because it can be changed into a prime (6980701031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 539356 + ... + 552146.

It is an arithmetic number, because the mean of its divisors is an integer number (181326600).

Almost surely, 26980701041 is an apocalyptic number.

It is an amenable number.

6980701041 is a deficient number, since it is larger than the sum of its proper divisors (4624201359).

6980701041 is a wasteful number, since it uses less digits than its factorization.

6980701041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12887 (or 12881 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 6980701041 is about 83550.5897106657. The cubic root of 6980701041 is about 1911.1715846909.

The spelling of 6980701041 in words is "six billion, nine hundred eighty million, seven hundred one thousand, forty-one".

Divisors: 1 3 9 17 27 29 41 51 87 123 153 261 369 459 493 697 783 1107 1189 1479 2091 3567 4437 6273 10701 12791 13311 18819 20213 32103 38373 60639 115119 181917 217447 345357 370939 524431 545751 652341 1112817 1573293 1957023 3338451 4719879 5871069 6305963 8915327 10015353 14159637 15208499 18917889 26745981 45625497 56753667 80237943 136876491 170261001 240713829 258544483 410629473 775633449 2326900347 6980701041